De Cooman, G. and Troffaes, M. C. M. (2005) 'Dynamic programming for deterministic discrete-time systems with uncertain gain.', International journal of approximate reasoning., 39 (2-3). pp. 257-278.
We generalise the optimisation technique of dynamic programming for discrete-time systems with an uncertain gain function. We assume that uncertainty about the gain function is described by an imprecise probability model, which generalises the well-known Bayesian, or precise, models. We compare various optimality criteria that can be associated with such a model, and which coincide in the precise case: maximality, robust optimality and maximinity. We show that (only) for the first two an optimal feedback can be constructed by solving a Bellman-like equation.
|Keywords:||Optimal control, Dynamic programming, Uncertainty, Imprecise probabilities, Lower previsions, Sets of probabilities.|
|Full text:||(AM) Accepted Manuscript|
Download PDF (316Kb)
|Publisher Web site:||http://dx.doi.org/10.1016/j.ijar.2004.10.004|
|Date accepted:||No date available|
|Date deposited:||14 May 2009|
|Date of first online publication:||June 2005|
|Date first made open access:||No date available|
Save or Share this output
|Look up in GoogleScholar|